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Last updated on February 17th, 2025

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Divisibility Rule of 828

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Intermediate
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The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 828.

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What is the Divisibility Rule of 828?

The divisibility rule for 828 is a method by which we can find out if a number is divisible by 828 or not without using the division method. Check whether 1656 is divisible by 828 with the divisibility rule.

 

Step 1: Divide the number by 828 directly without performing long division. If it divides evenly, it means the number is divisible by 828. For example, check 1656 ÷ 828.

 

Step 2: If the quotient is an integer, then 1656 is divisible by 828. If not, it isn't divisible by 828.

divisibility rule of 828
 

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Tips and Tricks for Divisibility Rule of 828

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 828.

 

Know the multiples of 828:

 

 
Memorize the multiples of 828 (828, 1656, 2484, 3312, etc.) to quickly check divisibility. If the result from the division is a multiple of 828, then the number is divisible by 828.

 

Use the division method to verify:  

 


Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 828

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Divisibility Rule of 828 Examples

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Problem 1

Is the number of pages in a book, 1656, divisible by 828?

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Explanation

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Problem 2

A factory produces 3312 widgets. Can these widgets be evenly distributed into boxes containing 828 each?

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Explanation

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Problem 3

A storage tank holds 2484 liters of liquid. Is this amount perfectly divisible into smaller containers of 828 liters each?

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Explanation

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Problem 4

Can a ladder of 4968 steps be divided into equal sections of 828 steps?

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Explanation

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Problem 5

Is the total number of 5796 bricks in a wall divisible by 828?

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Explanation

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FAQs on Divisibility Rule of 828

1.What is the divisibility rule for 828?

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2. How many numbers are there between 1 and 5000 that are divisible by 828?

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3. Is 3312 divisible by 828?

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4.What if I get a remainder after dividing?

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5.Does the divisibility rule of 828 apply to all integers?

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Important Glossaries for Divisibility Rule of 828

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 828 are 828, 1656, 2484, 3312, etc.
     
  • Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
     
  • Division: Division is a mathematical operation where a number is divided into equal parts.
     
  • Quotient: The result obtained by dividing one number by another.
     
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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